I have to add my 2 cents here.
First, I agree 100%....what's the point of a versus thread? "Talking about music is like dancing about Architecture".
Still, if you've studied McCartney (and I mean studied every inch of nuance in say, 80% of the 216 songs the Beatles recorded in their brief 7 years) - In other words, if you have BIG EARS, you'd have to rename this thread "McCartney or Jamerson" - who by the way are my favorite top 2 nuanced players. Naturally I love a zillion other guys, but these 2 rise to the top - in the world of Pop music.
So, (for my comments here) that leaves out Jaco, Stanley, Wooten, Squire et al..
Sting, pretty boy that he is, and damned good writer, singer, musician, doesn't hold a candle to these guys, nor would he profess to. Some guys (IN Pop) that come to mind are Trevor Bolder or Bruce Thomas. They also have the gift of naturally nuancing all sections Verse-Chorus-Bridge-Out of a 3 minute pop tune.
McCartney stands at the top of heap when it comes to "most interesting notes" bar-to-bar in a 3 minute pop song. There's really too many examples to mention. One thing you'll notice about Jamerson and McCartney, they are basically jamming all the way through. They're not just playing the changes, they're living, breathing the changes. I'm sure there are other players who do the same so forgive me for not mentioning them.
Still, it's one thing to play through a song very well, hitting all the important downbeats, sections etc., it's another to naturally open up a 3D approach where nuance (sorry to overuse the word) is part of your playing. When nuance doesn't sound cliche or out of place, that's about as genius as you can get - and I rarely ever use that word.
I'll now step down of my pulpit....and practice....and listen....and practice more.